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Finding the Third Proportional to 3,656 and 8,041

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Solution

The third proportional to 3,656 and 8,041 is: 17,685.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,656 : 8,041 = 8,041 : x
  2. Step 2: Convert to fraction form
    3,656/8,041 = 8,041/x
  3. Step 3: Cross multiply
    3,656x = 8,041 × 8,041
  4. Step 4: Simplify right side
    3,656x = 64,657,681
  5. Step 5: Solve for x
    x = 64,657,681/3,656
  6. Step 6: Final answer
    x = 17,685.36

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.